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Finding the Third Proportional to 918,734,007 and 2,016,031,704

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Solution

The third proportional to 918,734,007 and 2,016,031,704 is: 4,423,896,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,734,007 : 2,016,031,704 = 2,016,031,704 : x
  2. Step 2: Convert to fraction form
    918,734,007/2,016,031,704 = 2,016,031,704/x
  3. Step 3: Cross multiply
    918,734,007x = 2,016,031,704 × 2,016,031,704
  4. Step 4: Simplify right side
    918,734,007x = 4,064,383,831,533,143,552
  5. Step 5: Solve for x
    x = 4,064,383,831,533,143,552/918,734,007
  6. Step 6: Final answer
    x = 4,423,896,144.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.